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114 LearnersLast updated on March 11th, 2025
61/80 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts, numerator (the number on the top), here, 61 represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 80. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
What is 61/80 as a decimal?
Answer
61/80 as a decimal can be written as 0.7625. It is a terminating decimal, meaning it does not repeat the same digit infinitely.
Explanation
To convert 61/80 into a decimal, we will use the division method. Here, 61 is smaller than 80, so we will use decimal division to find the answer as 0.7625. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (61) will be taken as the dividend and the denominator (80) will be taken as the divisor.
Step 2: As 61 is smaller than 80, it can't be divided directly, so we will use decimals. We will add 0 to the dividend, which will make 61 as 610 and add a decimal point in the quotient place.
Step 3: Now that it is 610, we can divide it by 80. Let's see how many times 80 fits into 610.
Step 4: 80 goes into 610 seven times (80 x 7 = 560). We will write 7 in the quotient place and subtract 560 from 610, which gives 50.
Step 5: Bring down another 0 in the dividend place to make it 500 and repeat the division process.
Step 6: 80 goes into 500 six times (80 x 6 = 480). Write 6 in the quotient place and subtract 480 from 500, which gives 20.
Step 7: Bring down another 0 to make it 200 and divide by 80. 80 goes into 200 two times (80 x 2 = 160). Write 2 in the quotient place and subtract 160 from 200, which gives 40.
Step 8: Bring down another 0 to make it 400 and divide by 80. 80 goes into 400 five times (80 x 5 = 400). Write 5 in the quotient place, and the remainder is 0, concluding the division.
The answer for 61/80 as a decimal is 0.7625.
Important Glossaries for 61/80 as a decimal
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
- Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
- Denominator: The bottom part of a fraction, showing how many parts make up a whole.
- Terminating Decimal: A decimal that ends and does not repeat infinitely.
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